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6068529504 = 253312895449
BaseRepresentation
bin1011010011011011…
…00110100101100000
3120122221000020111000
411221231212211200
544412020421004
62442101352000
7303245435562
oct55155464540
916587006430
106068529504
112634588044
121214408600
1375934117b
14417d6b332
15257b72c39
hex169b66960

6068529504 has 96 divisors (see below), whose sum is σ = 17716860000. Its totient is φ = 2020902912.

The previous prime is 6068529497. The next prime is 6068529517. The reversal of 6068529504 is 4059258606.

6068529504 is a `hidden beast` number, since 60 + 6 + 85 + 2 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6068529504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110972 + ... + 1116420.

It is an arithmetic number, because the mean of its divisors is an integer number (184550625).

Almost surely, 26068529504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6068529504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858430000).

6068529504 is an abundant number, since it is smaller than the sum of its proper divisors (11648330496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6068529504 is a wasteful number, since it uses less digits than its factorization.

6068529504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6757 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6068529504 is about 77900.7670308836. The cubic root of 6068529504 is about 1824.0125518527.

The spelling of 6068529504 in words is "six billion, sixty-eight million, five hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1289 2578 3867 5156 5449 7734 10312 10898 11601 15468 16347 20624 21796 23202 30936 32694 34803 41248 43592 46404 49041 61872 65388 69606 87184 92808 98082 123744 130776 139212 147123 174368 185616 196164 261552 278424 294246 371232 392328 523104 556848 588492 784656 1113696 1176984 1569312 2353968 4707936 7023761 14047522 21071283 28095044 42142566 56190088 63213849 84285132 112380176 126427698 168570264 189641547 224760352 252855396 337140528 379283094 505710792 674281056 758566188 1011421584 1517132376 2022843168 3034264752 6068529504